I totally agree with Californian-- this frees up HR professionals or managers from feeling any need to 'investigate' or make sure someone was out because they were really sick. Just give employees X personal days per year and let them use them however they want.
By the way, I saw the movie too, and considering it was just one day she'd missed, I thought her boss came down a little hard. But it didn't exactly look like a fun place to work, did it?